A Tank 5 Feet Long Has Cross-Sections N the Shape $y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2$

question 133

Essay

A tank 5 feet long has cross-sections n the shape of a parabola $y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2$ (where x and y are in feet). Suppose that the tank is filled to a depth of 3 feet with liquid weighing 15 lb/ft³. How much work is required to empty the tank by pumping the liquid over the edge of the tank?

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Definitions:

Quality of Income

A measure of how easily a firm's accounting income can be converted into cash, reflecting the company's financial stability.

Price/Earnings Ratio

A financial ratio that measures a company's share price relative to its earnings per share, indicating how much investors are willing to pay per dollar of earnings.

Dividend Yield

A monetary ratio demonstrating the proportion of yearly dividends distributed by a corporation in relation to its share value.